if x:y::y:z,then x:z is equal to what ratio
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Given:
x:y::y:z
To find:
The ratio of x:z
Solution:
The equation x:y::y:z, can be simplified and expressed in various forms.
But to solve this question we will write it as x divided by y is equal to y divided by z.
x/y = y/z
Taking the y's to one side of the equation we will cross multiply it and obtain the equation
x×z = y²
Now to obtain the desired ratio we will divide both the sides of the equation with z²
x×z / z² = y² / z²
Simplifying it further
x / z = y² / z²
Therefore, x:z is equal to y² / z².
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